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Finding the Fourth Proportional to 561.07, 773.71 and 403.42

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Solution

The fourth proportional to 561.07, 773.71 and 403.42 is: 556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.07 : 773.71 = 403.42 : x
  2. Step 2: Convert to fraction form
    561.07/773.71 = 403.42/x
  3. Step 3: Cross multiply
    561.07x = 773.71 × 403.42
  4. Step 4: Simplify right side
    561.07x = 312,130.09
  5. Step 5: Solve for x
    x = 312,130.09/561.07
  6. Step 6: Final answer
    x = 556.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.